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Hypothesis Testing

  1. Dec 5, 2009 #1
    1. The problem statement, all variables and given/known data

    Let X have a binomial distribution with the number of trails n = 10 and with p either 0.25 or 0.5. The simple null hypothesis p = 0.5 is rejected and the alternate hypothesis p = 0.25 is accepted if the observed value of X1, a random sample of size 1, is less than or equal to 3. Find the significance level and the power of the test.

    2. Relevant equations



    3. The attempt at a solution

    I believe that the power function is P(X<3) = P(Bin(10,0.25) < 3) and the significane leve would be [tex] = \alpha = P_{H_0}(\Sigma _{10}C_i 0.5^{10}0.5^{10-i}<3) = 0.171875[/tex]

    Is this correct?
     
  2. jcsd
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